Nonassociative geometry: Towards discrete structure of spacetime

Details Nonassociative geometry: Towards discrete structure of spacetime Nonassociative geometry: Towards discrete structure of spacetime

2000-10-19

arxiv.org/abs/hep-th/0010159v2

Phys.Rev.D62:081501,2000

Physics

High Energy Physics

High Energy Physics - Theory

RevTex file, 5 pages, typos corrected

Scientific paper

10.1103/PhysRevD.62.081501

In the framework of nonassociative geometry (hep-th/0003238) a unified description of continuum and discrete spacetime is proposed. In our approach at the Planck scales the spacetime is described as a so-called "diodular discrete structure" which at large spacetime scales `looks like' a differentiable manifold. After a brief review of foundations of nonassociative geometry,we discuss the nonassociative smooth and discrete de Sitter spacetimes.

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